2000/02/29 by Andrey Yu. Dubin · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #String (physics) #String theory #Worldsheet #hep-lat #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00262-5
published in Nuclear Physics B 582(1-3), 677-715 (Elsevier BV) · 54 pages, minor corrections, the variant published in Nucl. Phys. B
openalex publication_date 2000/08/01 · arxiv created 2001/01/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Employing the nonabelian duality transformation, I derive the Gauge String form of certain D>=3 lattice Yang-Mills (YMD) theories in the strong coupling (SC) phase. With the judicious choice of the actions, in D>=3 our construction generalizes the Gross-Taylor stringy reformulation of the continuous YM2 on a 2d manifold. Using the Eguchi-Kawai model as an example, we develope the algorithm to determine the weights w[M] for connected YM-flux worldsheets M immersed into the 2d skeleton of a D>=3 base-lattice. Owing to the invariance of w[M] under a continuous group of area-preserving worldsheet homeomorphism, the set of the weights w[M] can be used to define the theory of the smooth YM-fluxes which unambiguously refers to a particular continuous YMD system. I argue that the latter YMD models (with a finite ultraviolet cut-off) for sufficiently large bare coupling constant(s) are reproduced, to all orders in 1/N, by the smooth Gauge String thus associated. The asserted YMD/String duality allows to make a concrete prediction for the 'bare' string tension σ0 which implies that (in the large N SC regime) the continuous YMD systems exhibit confinement for D≥2. The resulting pattern is qualitatively consistent (in the extreme D=4 SC limit) with the Witten's proposal motivated by the AdS/CFT correspondence.